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Simplifying -1[(2x + 1) + -5(x + -4)] + 4 = 10(x + 3) Reorder the terms: -1[(1 + 2x) + -5(x + -4)] + 4 = 10(x + 3) Remove parenthesis around (1 + 2x) -1[1 + 2x + -5(x + -4)] + 4 = 10(x + 3) Reorder the terms: -1[1 + 2x + -5(-4 + x)] + 4 = 10(x + 3) -1[1 + 2x + (-4 * -5 + x * -5)] + 4 = 10(x + 3) -1[1 + 2x + (20 + -5x)] + 4 = 10(x + 3) Reorder the terms: -1[1 + 20 + 2x + -5x] + 4 = 10(x + 3) Combine like terms: 1 + 20 = 21 -1[21 + 2x + -5x] + 4 = 10(x + 3) Combine like terms: 2x + -5x = -3x -1[21 + -3x] + 4 = 10(x + 3) [21 * -1 + -3x * -1] + 4 = 10(x + 3) [-21 + 3x] + 4 = 10(x + 3) Reorder the terms: -21 + 4 + 3x = 10(x + 3) Combine like terms: -21 + 4 = -17 -17 + 3x = 10(x + 3) Reorder the terms: -17 + 3x = 10(3 + x) -17 + 3x = (3 * 10 + x * 10) -17 + 3x = (30 + 10x) Solving -17 + 3x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + 3x + -10x = 30 + 10x + -10x Combine like terms: 3x + -10x = -7x -17 + -7x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -7x = 30 + 0 -17 + -7x = 30 Add '17' to each side of the equation. -17 + 17 + -7x = 30 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = 30 + 17 -7x = 30 + 17 Combine like terms: 30 + 17 = 47 -7x = 47 Divide each side by '-7'. x = -6.714285714 Simplifying x = -6.714285714
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